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Another representation, in polar coordinates, of the point (1,5pi/6) is (___, 11pi/6)
Solve the equation 𝑆 = ∫10𝑒2t 𝑑𝑡 for T range 0 to T.
What is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid x2/9+y2/16+z2/36=1? Show that the answer you get gives you the largest volume.(DO NOT USE LAGRANGE MULTIPLIERS)
One share of Mang tubig prepared stocks pays an annual dividend of php 1.60 today Mang tubig closed at php 25.40 with a net change of PHP 0.50 what was the stocks yield at yesterday's closing price?
Consider a project consisting of nine jobs (A, B, C,….,I) with the following precedence
relations and time estimates.
Job Predecessor Time (Days)
A -- 15
B -- 10
C A,B 10
D AB 10
E B 5
F DE 5
G CF 20
H DE 10
I GH 15
a. Draw the project network for this problem designating the jobs by arcs and event by nodes. b.
Determine the earliest completion time of the project, and identify the critical path.
c. Determine a project schedule listing the earliest and latest starting times of each job. Also identify
the critical job.
A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at α=0.05 level of significance. Using the level of significance α=0.05, test whether the color distribution is the same.
I. Determine whether each of the following statements about Fibonacci numbers is true or false. a. 2F₁>Fn+1for n ≥ 3 b. 2F +4 = Fn+3 for n ≥ 3
R^3 is a inner product space over the inner product
<(x1,x2,X3),(y1,y2,y3)> = x1y1+ x2y2 - x3y3
True or false with full explanation
If T: U to V is a one- one linear transformation between finite- dimensional vector space V and W , then T is invertible. True or false with full explanation
Check that T = R^3 to R^3, defined by
T(x1,x2,X3)= (x1+X3, x2+2x3, x1-x2-x3) is a linear operator. Also find the kernel
#340153 on Dec 2023